Free Grade 3 Working with Introducing Range Essentials: Worked Examples Lessons
Free Grade 3 lessons for Working with Introducing Range Essentials: Worked Examples: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing range essentials: worked examples
Explain working with introducing range essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range essentials: worked examples
Calculate working with introducing range essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range essentials: worked examples
Compare working with introducing range essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing range essentials: worked examples
Justify working with introducing range essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Introducing Range Essentials: Worked Examples works
The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.For the data 2, 6, 9, 13, 14, find the mean, median, mode and range.[1]
- 2.For the data 1, 7, 12, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 4, 5, 11, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 3, 9, 12, 14, find the mean, median, mode and range.[1]
- 5.For the data 7, 20, 20, 24, 28, 32, 33, find the mean, median, mode and range.[2]
- 6.For the data 6, 7, 8, 22, 24, 30, 31, find the mean, median, mode and range.[2]
- 7.For the data 1, 3, 21, 25, 26, 35, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 3, 9, 10, 13, 24, 36, find the mean, median, mode and range.[2]
- 9.For the data 14, 17, 17, 18, 22, 23, 32, 51, 56, find the mean, median, mode and range.[3]
- 10.For the data 4, 12, 22, 30, 30, 41, 43, 49, 59, find the mean, median, mode and range.[3]
- 11.For the data 13, 33, 35, 37, 39, 41, 41, 56, 57, find the mean, median, mode and range.[3]
- 12.For the data 9, 16, 24, 24, 36, 36, 46, 52, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.8, median 9, mode none, range 12
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 14 − 2 = 12.
2. Mean 10.6, median 12, mode none, range 16
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 1 = 16.
3. Mean 8.2, median 5, mode none, range 19
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 8, median 9, mode none, range 12
Mean = 40 ÷ 5 = 8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 14 − 2 = 12.
5. Mean 23.43, median 24, mode 20, range 26
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 24. Mode = most common = 20. Range = 33 − 7 = 26.
6. Mean 18.29, median 22, mode none, range 25
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 31 − 6 = 25.
7. Mean 21, median 25, mode none, range 35
Mean = 147 ÷ 7 = 21. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 1 = 35.
8. Mean 13.71, median 10, mode none, range 35
Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 36 − 1 = 35.
9. Mean 27.78, median 22, mode 17, range 42
Mean = 250 ÷ 9 = 27.78. Median = middle value in order = 22. Mode = most common = 17. Range = 56 − 14 = 42.
10. Mean 32.22, median 30, mode 30, range 55
Mean = 290 ÷ 9 = 32.22. Median = middle value in order = 30. Mode = most common = 30. Range = 59 − 4 = 55.
11. Mean 39.11, median 39, mode 41, range 44
Mean = 352 ÷ 9 = 39.11. Median = middle value in order = 39. Mode = most common = 41. Range = 57 − 13 = 44.
12. Mean 33.11, median 36, mode 24 and 36, range 46
Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 36. Mode = most common = 24 and 36. Range = 55 − 9 = 46.
Worked examples
For the data 6, 9, 15, 20, 20, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 15.
- Mode = most common = 20.
- Range = 20 − 6 = 14.
- Answer: Mean 14, median 15, mode 20, range 14
For the data 2, 8, 9, 9, 13, 13, 19, find the mean, median, mode and range.
- Mean = 73 ÷ 7 = 10.43.
- Median = middle value in order = 9.
- Mode = most common = 9 and 13.
- Range = 19 − 2 = 17.
- Answer: Mean 10.43, median 9, mode 9 and 13, range 17
For the data 2, 3, 27, 27, 32, 42, 46, 59, 59, find the mean, median, mode and range.
- Mean = 297 ÷ 9 = 33.
- Median = middle value in order = 32.
- Mode = most common = 27 and 59.
- Range = 59 − 2 = 57.
- Answer: Mean 33, median 32, mode 27 and 59, range 57
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Finds the median without ordering the data.
Correction: Always put the numbers in order first.
Gives the range as the two end numbers.
Correction: Range is one number: largest minus smallest.
Teacher tips
- · Collect real class data (heights, shoe sizes).
Parent tips
- · Work out your average bedtime over a week.
Real-life applications
- · Sports averages, typical prices, test scores.
Assessment objectives
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